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13144544 = 257283101
BaseRepresentation
bin110010001001…
…000111100000
3220201210220222
4302021013200
511331111134
61145422212
7216504200
oct62110740
926653828
1013144544
117468766
12449a968
132952c4a
141a62400
151249a2e
hexc891e0

13144544 has 72 divisors (see below), whose sum is σ = 30767688. Its totient is φ = 5510400.

The previous prime is 13144543. The next prime is 13144577. The reversal of 13144544 is 44544131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130094 + ... + 130194.

It is an arithmetic number, because the mean of its divisors is an integer number (427329).

Almost surely, 213144544 is an apocalyptic number.

13144544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13144544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15383844).

13144544 is an abundant number, since it is smaller than the sum of its proper divisors (17623144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13144544 is a wasteful number, since it uses less digits than its factorization.

13144544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 13144544 is about 3625.5405114272. The cubic root of 13144544 is about 236.0017236300.

Adding to 13144544 its reverse (44544131), we get a palindrome (57688675).

The spelling of 13144544 in words is "thirteen million, one hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 83 98 101 112 166 196 202 224 332 392 404 581 664 707 784 808 1162 1328 1414 1568 1616 2324 2656 2828 3232 4067 4648 4949 5656 8134 8383 9296 9898 11312 16268 16766 18592 19796 22624 32536 33532 39592 58681 65072 67064 79184 117362 130144 134128 158368 234724 268256 410767 469448 821534 938896 1643068 1877792 3286136 6572272 13144544